Answer:
A line is one-dimensional
Step-by-step explanation:
In its simplest form: a line describes one dimension, a plane describes two dimensions, and a cube describes three dimensions.
Applying parallel line postulate twice
36degree=3x degree +2y degree
126 degrees=12 x degree + 2y degree
So, the two equations are:
3x + 2y = 36
and
12x + 2y = 126
Eliminate x to solve for y
-(3x + 2y)= -(36)
-3x - 2y = -36
Combine the equations
(-3x - 2y)+ (12x + 2y) = (-36) + (126)
-3x -2y + 12x + 2y = -36 + 126
9x = 90
x = 10
Plug value of x back into to the equations to solve for y
3(10) + 2y = 36
30 + 2y = 36
2y =6
y = 3
Optional
Plug x into the other equation to check for error
12(10) +2y = 126
120 + 2y =126
2y = 6
y = 3
Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%
Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)
Answer: The 90% confidence interval is (7.38, 6.38)
To solve this question, plug in the ordered pairs given (note it is (x,y) ) into the equation.
(B) The x-intercept is (0,6) and the y-intercept is (-3,0)
4x - 2y = -12
x-intercept:
4(0) - 2(6) = -12
0 - 12 = -12
-12 = -12 (True)
y-intercept:
4x - 2y = -12
4(-3) - 2(0) = -12
-12 - 0 = -12
-12 = -12 (True)
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hope this helps
